WaveletListPlot[dwd] plots wavelet transform coefficients in the DiscreteWaveletData dwd.WaveletListPlot[dwd, wind] plots wavelet transform coefficients corresponding to the ...

Boole[expr] yields 1 if expr is True and 0 if it is False.

CoefficientList[poly, var] gives a list of coefficients of powers of var in poly, starting with power 0. CoefficientList[poly, {var_1, var_2, ...}] gives an array of ...

HankelMatrix[n] gives the n*n Hankel matrix with first row and first column being successive integers.HankelMatrix[{c_1, c_2, ..., c_n}] gives the Hankel matrix whose first ...

x + y + z represents a sum of terms.

Matrix inversion. Here is a simple 2×2 matrix. This gives the inverse of m. In producing this formula, Mathematica implicitly assumes that the determinant ad-bc is nonzero.

CUDAFourier[list] finds the discrete Fourier transform of a list of complex numbers.CUDAFourier[mem] finds the discrete Fourier transform of a CUDAMemory.

CUDATranspose[mat] transposes input matrix mat.CUDATranspose[mem] transposes input CUDAMemory mem.

Series[f, {x, x_0, n}] generates a power series expansion for f about the point x = x_0 to order (x - x_0) n. Series[f, {x, x_0, n_x}, {y, y_0, n_y}, ...] successively finds ...

Mathematica's matrix operations handle both numeric and symbolic matrices, automatically accessing large numbers of highly efficient algorithms. Mathematica uses ...